30024345203040 has 384 divisors, whose sum is σ = 100446834741120. Its totient is φ = 7512470323200.

The previous prime is 30024345203011. The next prime is 30024345203087. The reversal of 30024345203040 is 4030254342003.

It is a super-2 number, since 2×30024345203040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30024345202989 and 30024345203007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4101122580 + ... + 4101129900.

It is an arithmetic number, because the mean of its divisors is an integer number (261580298805).

Almost surely, 2^{30024345203040} is an apocalyptic number.

30024345203040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30024345203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50223417370560).

30024345203040 is an abundant number, since it is smaller than the sum of its proper divisors (70422489538080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30024345203040 is a wasteful number, since it uses less digits than its factorization.

30024345203040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8826 (or 8818 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 30024345203040 its reverse (4030254342003), we get a palindrome (34054599545043).

The spelling of 30024345203040 in words is "thirty trillion, twenty-four billion, three hundred forty-five million, two hundred three thousand, forty".